The biggest global risks over a period of 2 and 10 years are, respectively, disinformation and extreme weather events, according to the World Economic Forum. Climate disinformation is a phenomenon of systematic dissemination of misleading information, which discredits the existence and impacts of anthropogenic climate change. There are also grey areas of disinformation, such as greenwashing and climate-washing, in which companies and governments adopt sustainable discourses in contradiction with their actions of fossil fuel exploitation and greenhouse gas emissions. The objective of this work is to study the relationship between climate disinformation and climate-washing with climate litigation, in what has been recognized as a recent movement in which companies from various sectors and governments are taken to courts for false and misleading illegal communications. Some of the cases seeking the accountability of companies and governments will be studied in this work, especially those that cover allegations of human rights violations. In addition to exploring the relationship between litigation and climate disinformation, we seek to understand the extent to which the rights turn in climate change litigation can find common ground with climate-washing litigation, in combating the climate crisis and defending human rights to information and transparency.